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Finding the Fourth Proportional to 70,425.14, 105,635.88 and 23,678.01

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Solution

The fourth proportional to 70,425.14, 105,635.88 and 23,678.01 is: 35,516.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,425.14 : 105,635.88 = 23,678.01 : x
  2. Step 2: Convert to fraction form
    70,425.14/105,635.88 = 23,678.01/x
  3. Step 3: Cross multiply
    70,425.14x = 105,635.88 × 23,678.01
  4. Step 4: Simplify right side
    70,425.14x = 2,501,247,423.00
  5. Step 5: Solve for x
    x = 2,501,247,423.00/70,425.14
  6. Step 6: Final answer
    x = 35,516.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.